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lilavasa [31]
3 years ago
12

What 2 numbers add to -7 and the same two numbers multiply to 3

Mathematics
2 answers:
yarga [219]3 years ago
4 0
That's impossible. Are you factoring?
alexandr402 [8]3 years ago
4 0
A) x + y = -7
B) x * y = 3
y = 3/x then put this into equation A
x + 3/x = -7
x^2 + 3 = -7x
x^2 +7x + 3 = 0
x = -6.5414 and x = -0.45862

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A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
Kryger [21]

Given: f(x) = \frac{1}{x-2}

           g(x) = \frac{2x+1}{x}

A.)Consider

f(g(x))= f(\frac{2x+1}{x} )

f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}

f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}

f(\frac{2x+1}{x} )=\frac{x}{1}

f(\frac{2x+1}{x} )=1

Also,

g(f(x))= g(\frac{1}{x-2} )

g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{x }{1}

g(\frac{1}{x-2} )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f(\frac{2x+1}{x} )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g(\frac{1}{x-2} )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



8 0
4 years ago
Can someone please help me with 6?
Firdavs [7]

Look at the link below I filled in the answers for you. :)

6 0
3 years ago
Lorraine writes the equation shown. x squared + y minus 15 = 0 She wants to describe the equation using the term relation and th
Colt1911 [192]

Answer:

x=2  y=11

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Y-intercept = (0, 2)<br> slope = -3/7 what is the equation?
Marianna [84]

Answer:

y = -(3/7)x + 2

Step-by-step explanation:

(see attached)

recall that the slope-intercept form of a linear equation is

y = mx + b

where m = slope = given as -(3/7)

and b = y-intercept = 2

substituting these values into the eqation:

y = mx + b

y = -(3/7)x + 2

8 0
3 years ago
Need help ASAP, I am really confused!
guajiro [1.7K]

x=2 and y = 6 for your awnser hope it helped

4 0
3 years ago
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